The big problem with fixed point is reciprocals are really bad. If you have a fixed point format that goes from 0 to 1000, then 0.0125% of the numbers are below

The big problem with fixed point is reciprocals are really bad. If you have a fixed point format that goes from 0 to 1000, then 0.0125% of the numbers are below 1/8, whereas 99.2% of the numbers are above 8. Obviously for the reciprocal to be accurate, there needs to be the same amount of numbers above 1 as below 1, like there is for floats.